The following scatter graph represents the heights and their respective weights of a group of students.

Determine the weight of a student whose height is 170 cm?
kg

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Solution

Given, the following sactter graph represents the heights and their respective weights of a group of students.

Here, the $x -$ axis represents the height of students and the $y -$ axis represents the corresponding weights.
We have to find the weight of the student whose height is 170 cm.

Let's draw a vertical line at $x = 170.$ We can observe that the line intersects at the point marked, as shown below:

Now, draw a horizontal line through this point, it intersects the $y -$ axis at $55.$

Hence, the weight of a student whose height is 170 cm is 55 kg.

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Similar questions

Q. Following are the heights and weights of 10 students in a class. Draw a scatter diagram and indicate whether the correlation is positive or negative.

Height (in inches)	:	72	60	63	66	70	75	58	78	72	62
Weight (in kg)	:	65	54	55	61	60	54	50	63	65	50

Q. The following distribution represent the height of

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students of a school.

Height (in $c m$ )	No. of Students
$140 - 145$	$12$
$145 - 150$	$20$
$150 - 155$	$30$
$155 - 160$	$38$
$160 - 165$	$24$
$165 - 170$	$16$
$170 - 175$	$12$
$175 - 180$	$8$

Draw an ogive for the given distribution taking

2 c m = 5 c m

of height on one axis and

2 c m = 20

students on the other axis. Using the graph, determine:
(i) The median height
(ii) The inter quartile range
(iii) The number of students whose height is above

172 c m

Q. The following values are calculated in respect of heights and weights of the students of a section of class

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	Height	Weight
Mean	$162.6 c m$	$52.36 k g$
Variance	$127.69 {c m}^{2}$	$23.136 {k g}^{2}$

Can we say that the weights show greater variation that the heights ?

Arrange the height of 20 students in a grouped distribution table with a class interval of 5. The number of students whose height is below 170cm is ___

Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

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A Grade

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The following scatter graph represents the heights and their respective weights of a group of students. Determine the weight of a student whose height is 170 cm? kg

The following scatter graph represents the heights and their respective weights of a group of students.

Determine the weight of a student whose height is 170 cm?
kg